Question

2x - 6y = 5
x + y = 2 Solve the system of equations.

Answer 1

(17/8, -1/8) or if you want it in decimals (2.125, -0.125)


2x-6y=5
x+y=2 y=2-x
2x-6(2-x)=5
2x-12+6=5
8x-12=5
8x=17
x=17/8

(17/8)+y=2 You plug in the x-value to find the y-value now
y=2-17/8
y=-1/8

Answer 2

Equation 1) 2x - 6y = 5
Equation 2) x + y = 2

Multiply all of equation 2 by 2.

2) 2(x + y = 2)

2) 2x + 2y = 4
1) 2x - 6y = 5

Subtract equations from one another.

8y = -1

Divide both sides by 8.

y = -1/8

Plug in -1/8 for x in the first equation.

2x - 6y = 5

2x - 6(-1/8) = 5

Simplify.

2x + 3/4 = 5

Subtract 3/4 from both sides.

2x = 5 - 3/4

Simplify.

2x = 4 1/4

Divide both sides by 2.

x = 17/8 OR 2 1/8

~Hope I helped!~